Ratio distribution - Revision history

2001:638:410:1300:28BA:FF40:8D42:B8F4: /* Added a little more TeX */

2014-11-12T12:55:11Z

Added a little more TeX

← Older revision		Revision as of 14:55, 12 November 2014
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	~~Hi there,~~ I ~~am Alyson Pomerleau~~ and I ~~think online psychic reading; [http://hknews.classicmall.com~~.~~hk/groups/some-simple-tips-for-personal-development-progress/ classicmall.com.hk], it sounds quite good when you say it. Kentucky is where~~ I~~'ve usually been residing. For years she's been operating as a travel agent. It's not a common factor~~ but ~~what she likes performing is to perform domino but she doesn~~'~~t have the time lately~~.<br><br>Feel free to ~~surf to~~ my ~~web~~ blog ~~...~~ [http://~~ustanford~~.com/index.php?do=/profile-~~38218~~/info/ phone psychic readings] ([http://www.zavodpm.ru/blogs/glennmusserrvji/14565-great-hobby-advice-assist-allow-you-get-going http://www.zavodpm.ru/blogs/glennmusserrvji/14565-great-hobby-advice-assist-allow-you-get-going])		Friends contact him Royal. Bookkeeping is what she does. The thing I adore most flower arranging and now I have time to take on new issues. I presently live in Arizona but now I'm considering other choices.<br><br>Feel free to visit my blog [http://grtfl.com/index.php?do=/profile-220/info/ extended auto warranty]

en>Monkbot: Fix CS1 deprecated date parameter errors (test)

2014-02-26T04:19:27Z

Fix CS1 deprecated date parameter errors (test)

← Older revision		Revision as of 06:19, 26 February 2014
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	~~[[Fast Fourier Transform]] (FFT) is a common tool to investigate performance of for data converters~~ and ~~other sampled systems. '''Coherent sampling''' refers to a certain relationship between input~~ [~~[frequency]], <math>f_{in}<~~/~~math>, [[sampling frequency]], <math>f_s<~~/~~math>, number of cycles in the sampled set, <math>M_{cycles}</math>, and number of samples, <math>N_{samples}</math>~~. ~~With coherent sampling one is assured that the signal power in an FFT is contained within one FFT bin, assuming single input frequency~~.		Hi there, I am Alyson Pomerleau and I think online psychic reading; [http://hknews.classicmall.com.hk/groups/some-simple-tips-for-personal-development-progress/ classicmall.com.hk], it sounds quite good when you say it. Kentucky is where I've usually been residing. For years she's been operating as a travel agent. It's not a common factor but what she likes performing is to perform domino but she doesn't have the time lately.<br><br>Feel free to surf to my web blog ... [http://ustanford.com/index.php?do=/profile-38218/info/ phone psychic readings] ([http://www.zavodpm.ru/blogs/glennmusserrvji/14565-great-hobby-advice-assist-allow-you-get-going http://www.zavodpm.ru/blogs/glennmusserrvji/14565-great-hobby-advice-assist-allow-you-get-going])

	~~The condition for coherent sampling is given by~~

	~~:<math>\frac{f_{in}}{f_{s}} = \frac{M_{cycles}}{N_{samples}}~~.</~~math>~~

	~~If we have <math>N_{samples} = 2^{11} = 2048<~~/~~math> and <math>f_s = 100e6<~~/~~math> and we want an input frequency close to <math>f_s/2</math>~~, ~~let's~~ say ~~<math> f_{in} = 44MHz</math>, then <math>M_{cycles} = 901~~.~~12</math> which~~ is ~~close to an integer, so we could round it down to <math>M_{cycles} = 901</math> and we would get <math>f_{in} =~~
	~~43994140~~.~~625Hz</math>~~. ~~This~~ is ~~an input frequency that satisfies coherent sampling and makes sure that we get an integer number of cycles~~.

	~~This integer number~~ <~~math~~>M<~~/math~~> ~~can be chosen~~ to ~~be a [[Prime number]] (except for 2)~~. ~~This ensures that the same FFT samples will not be repeated across any two input signal cycles of the sampled signal~~[http://~~www.maxim-ic~~.com/~~appnotes~~.~~cfm~~/~~appnote_number~~/~~1040~~/]~~. For example, if N=32 and M=6~~ (~~non-prime) then there will be N~~/~~M=5~~.~~33 samples per cycle of the input frequency, so three cycles of the input will take exactly 16 samples, and so the first 16 samples will be identical to the second 16 samples~~. ~~Usually, no additional information is gained by repeating with the same sampling points and so generally a non~~-~~prime M should not be used.~~

	~~== See also ==~~
	* [[Bin-~~centres]]~~

	~~== External links ==~~
	* [http://www.~~maxim-ic~~.~~com~~/~~appnotes.cfm~~/~~appnote_number~~/~~1040/CMP/ELK1 Coherent Sampling Application Note and Calculator]~~

	~~[[Category:Signal processing]~~]

en>Monkbot: Fix CS1 deprecated date parameter errors

2014-01-29T03:39:13Z

Fix CS1 deprecated date parameter errors

← Older revision		Revision as of 05:39, 29 January 2014
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	~~Hi there~~. ~~Allow me start by introducing~~ the ~~author~~, ~~her name~~ is ~~Sophia Boon but she by no means truly liked~~ that ~~title. To perform lacross~~ is ~~the thing I adore most of all~~. ~~Alaska~~ is ~~exactly where he'~~s ~~always been living~~. ~~For many years she~~'s ~~been operating as a journey agent~~.<br><br>~~My page psychic chat online~~ ([http://~~formalarmour~~.com/~~index~~.~~php?do~~=/~~profile~~-~~26947~~/~~info~~/ ~~top article~~])		[[Fast Fourier Transform]] (FFT) is a common tool to investigate performance of for data converters and other sampled systems. '''Coherent sampling''' refers to a certain relationship between input [[frequency]], <math>f_{in}</math>, [[sampling frequency]], <math>f_s</math>, number of cycles in the sampled set, <math>M_{cycles}</math>, and number of samples, <math>N_{samples}</math>. With coherent sampling one is assured that the signal power in an FFT is contained within one FFT bin, assuming single input frequency.

			The condition for coherent sampling is given by

			:<math>\frac{f_{in}}{f_{s}} = \frac{M_{cycles}}{N_{samples}}.</math>

			If we have <math>N_{samples} = 2^{11} = 2048</math> and <math>f_s = 100e6</math> and we want an input frequency close to <math>f_s/2</math>, let's say <math> f_{in} = 44MHz</math>, then <math>M_{cycles} = 901.12</math> which is close to an integer, so we could round it down to <math>M_{cycles} = 901</math> and we would get <math>f_{in} =
			43994140.625Hz</math>. This is an input frequency that satisfies coherent sampling and makes sure that we get an integer number of cycles.

			This integer number <math>M</math> can be chosen to be a [[Prime number]] (except for 2). This ensures that the same FFT samples will not be repeated across any two input signal cycles of the sampled signal[http://www.maxim-ic.com/appnotes.cfm/appnote_number/1040/]. For example, if N=32 and M=6 (non-prime) then there will be N/M=5.33 samples per cycle of the input frequency, so three cycles of the input will take exactly 16 samples, and so the first 16 samples will be identical to the second 16 samples. Usually, no additional information is gained by repeating with the same sampling points and so generally a non-prime M should not be used.

			== See also ==
			* [[Bin-centres]]

			== External links ==
			* [http://www.maxim-ic.com/appnotes.cfm/appnote_number/1040/CMP/ELK1 Coherent Sampling Application Note and Calculator]

			[[Category:Signal processing]]

129.85.4.39 at 22:06, 29 November 2011

2011-11-29T22:06:10Z

New page

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